330330242000 has 400 divisors, whose sum is σ = 911240226000. Its totient is φ = 115679872000.

The previous prime is 330330241963. The next prime is 330330242027. The reversal of 330330242000 is 242033033.

It can be written as a sum of positive squares in 8 ways, for example, as 147683415616 + 182646826384 = 384296^2 + 427372^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 849177806 + ... + 849178194.

It is an arithmetic number, because the mean of its divisors is an integer number (2278100565).

Almost surely, 2^330330242000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330330242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455620113000).

330330242000 is an abundant number, since it is smaller than the sum of its proper divisors (580909984000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

330330242000 is an equidigital number, since it uses as much as digits as its factorization.

330330242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 330330242000 its reverse (242033033), we get a palindrome (330572275033).

The spelling of 330330242000 in words is "three hundred thirty billion, three hundred thirty million, two hundred forty-two thousand".